ABSTRACT
We consider a class of linear systems x ˙ = [ A + Δ A ] x + [ I + Δ B ] u + Cv , x ( t 0 ) = x 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003071877/1dd05d2e-01cc-47c3-b8de-d776dd8884e5/content/eq245.tif"/>
in which ΔA, ΔB, and Cv, respectively, are uncertainties in system matrix, input matrix, and input. Moreover, the measured state y = x + w https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003071877/1dd05d2e-01cc-47c3-b8de-d776dd8884e5/content/eq246.tif"/> , where w is the measurement error. Based solely on knowledge of the uncertainty and error bounds, we give a measured state feedback control u that guarantees uniform boundedness and ultimate boundedness with respect to a certain neighborhood of x = 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003071877/1dd05d2e-01cc-47c3-b8de-d776dd8884e5/content/eq247.tif"/> .
